1. Given the rational function f (x) = -2x-15 [4] x- + 4x+3' a) State the equation(s) of all asymptote(s) and/or the coordinates of point(s) of discontinuities. 10 7 0 00 10 -8 - 6 -4 -2 2 4 6 8 10 10 L b) On the grid provided, sketch the graph of y = f(x). Label all asymptotes, intercepts, and point(s) of discontinuity. 2. State the zero of y =- 3 - -8. Round answer(s) to the nearest hundredth. A sketch is not required. x - 2 [1] 3. A rational function, shown below, has an equation of the form y = a ( x + b)(x- c) ( x +b)(x-d) where a, b, c, and d are integers. [2] -8 - 5 - 4 - 3 -2 - 0 1 2 3 6 7 8 9 10 11 12 The value of a is b is C is and d is4. The function y = vx has been transformed to become: -2(y +4) = V3x-15 . Describe the transformations, in proper order, that have occurred. [2] Use the following information to answer the next question. The graph of the function y = f(x) is shown below, f(x) N w - 6 -5 -4 -3 -2 -1 o 2 3 4 5 6 5. On the grid above, sketch the graph of y = f (x) . Label all invariants. [1] 6. Algebraically determine the domain of the function, f (x) = V5-12x . [1] 7. Determine the equation of the graph below in the form y =avxth +k [2] 10 -9 -28. If f (x) =6-x and g(x) = vx then the domain of (go f)(x) is [1] A. [6 , 00) B. (-00, 00) C. (-00, 6] D. [0 , 00) Use the following information to answer the next two questions. The graph of a quadratic function f(x) and a linear function g(x) are shown below. f (ac) g(x) 31 - 1 8 -7 -6 -50 -3 -2 -1 0 1 2 3 4 5 6 7 9. The value of (f -9)(-2) is and the value of ( f.g)(-3) = is [2] 10. Determine the domain of h(x) =(f . g)(x) given f(x) =_ and g(x) = x +6x +10. [2]11. Given h(x) = ( x). -and f (x) = x-2, determine the simplified form of g(x) if h(x) =- [1] g (x ) x + 2 Use the following information to answer the next question. Two functions are shown below. f (x): {(1, 4), (2, 6), (3, 5), (4, 2) } g (x) :1(1, 5), (3, 2), (5, 8), (6,3) } 12. State the value of (go f)( 2). [1] Use the following information to answer the next two questions. The graphs y = f (x) and y = g(x) are shown below. 6 3. Sketch the graph of h(x) = f (x)g(x). [1] 4. State the range of the graph of h(x) = f (x)g(x). [1]